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  • Question
  • Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.


  • Options
  • A. 1/3
  • B. 3/5
  • C. 2/3
  • D. 5/6

  • Correct Answer
  • 2/3 

    Explanation

    S = { 1, 2, 3, 4, .....18 } 

    => n(S) = 18

     

    E1 = {2, 4, 6, 8, 10, 12, 14, 16, 18}

    => n(E1) = 9

     

    E2 = {3, 6, 9, 12, 15, 18 }

    => n(E2) = 6

     

      E 3   = E 1 ? E 2 = { 6 ,   12 ,   18 }  

    => n(E3) = 3

     

    ? E = E 1   ?   E 2   =   E 1 + E 2 - E 3  

    => n(E) = 9 + 6 - 3 =12

     where E = { 2, 3, 4, 6, 8, 9, 10, 12, 12, 14, 15, 16, 18 }

     

    ? P ( E ) = n ( E ) n ( S ) = 12 18 = 2 3


  • Probability problems


    Search Results


    • 1. The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya?s leave request will be approved ?

    • Options
    • A. 1
    • B. 1/5
    • C. 5
    • D. 4/5
    • Discuss
    • 2. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?

    • Options
    • A. 6/19
    • B. 3/10
    • C. 7/10
    • D. 6/17
    • Discuss
    • 3. Three unbiased coins are tossed. What is the probability of getting at most two heads ?

    • Options
    • A. 4/3
    • B. 2/3
    • C. 3/2
    • D. 3/4
    • Discuss
    • 4. A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

    • Options
    • A. 9/13
    • B. 4/13
    • C. 10/13
    • D. 8/13
    • Discuss
    • 5. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

    • Options
    • A. 1/15
    • B. 1/221
    • C. 25/57
    • D. 35/256
    • Discuss
    • 6. Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

    • Options
    • A. 17/112
    • B. 55/221
    • C. 55/121
    • D. 33/221
    • Discuss
    • 7. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

    • Options
    • A. 3/7
    • B. 4/7
    • C. 1/8
    • D. 3/4
    • Discuss
    • 8. If p:q are the odds in favour of an event,then the probability of that event is:

    • Options
    • A. p/q
    • B. p/(p+q)
    • C. q/(p+q)
    • D. none
    • Discuss
    • 9. A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?

    • Options
    • A. 1/4
    • B. 1/5
    • C. 1/2
    • D. 3/4
    • Discuss
    • 10. The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

    • Options
    • A. 3/70
    • B. 4/70
    • C. 9/70
    • D. 1/50
    • Discuss


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